Why is (n-1)(n+1)=n^2-1?
Last Updated: 24.06.2025 05:20
xxx x
The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2
xxx
Pocket is shutting down, so I switched to a self-hosted alternative - Android Authority
n^2 - n + n - 1
(n - 1)(n + 1)
n^2 - 1
'Real Housewives' Exec Dies During Childbirth and Stars Are Showing Support - AOL.com
xx
The basic answer is that you cross-multiply the values in each factor:
So, that’s a rectangle with sides 2 and 4.
RBC Canadian Open 2025 prize money: Full payout from $9.8 million purse - Yahoo Sports
xxxx
xxx x
xxx
First glimpse of a charred scroll after two millennia thanks to AI and X-rays - Earth.com
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
And you are left with almost a square. One less than the square of side n.
Move the nub up to the top:
xxxx